Convergence of a hybrid iterative method for finite families of generalized quasi-\(\phi\)-asymptotically nonexpansive mappings

DOI10.1186/1687-1812-2012-121zbMath1475.47045OpenAlexW2142014096WikidataQ59289043 ScholiaQ59289043MaRDI QIDQ375412

Bashir Ali, Ma'aruf Shehu Minjibir

Publication date: 30 October 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-121

zbMATH Keywords

uniformly convex Banach spacehybrid methodsuniformly smooth Banach spacegeneralized projection mapgeneralized quasi-\(\phi\)-asymptotically nonexpansive mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Hybrid projection methods for a bifunction and relatively asymptotically nonexpansive mappings, A new iterative method for solving a system of generalized mixed equilibrium problems for a countable family of generalized quasi-\(\phi\)-asymptotically nonexpansive mappings

Cites Work

• Unnamed Item
• Strong and weak convergence theorems for common fixed points of nonself asymptotically nonexpansive mappings
• Approximation of common fixed points for finite families of nonself asymptotically nonexpansive mappings in Banach spaces
• Strong convergence theorems of hybrid methods for two asymptotically nonexpansive mappings in Hilbert spaces
• Fixed points of quasinonexpansive mappings
• A fixed point theorem for families of nonexpansive mappings
• Convergence theorems for generalized projections and maximal monotone operators in Banach spaces
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Forcing strong convergence of proximal point iterations in a Hilbert space
• Strong convergence of modified Ishikawa iteration for two asymptotically nonexpansive mappings and semigroups
• Convergence theorems of a modified hybrid algorithm for a family of quasi-\(\varphi \)-asymptotically nonexpansive mappings
• Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps
• On a hybrid method for a family of relatively nonexpansive mappings in a Banach space
• Convergence theorems for finite families of asymptotically quasi-nonexpansive mappings
• Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces
• Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
• Fixed-point theorems for families of contraction mappings
• Convergence of convex sets and of solutions of variational inequalities
• On the projection methods for fixed point problems
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Fixed Points by a New Iteration Method
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• A Fixed Point Theorem for Mappings which do not Increase Distances
• On the structure of the set of subsequential limit points of successive approximations
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces